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332393952 = 25311535939
BaseRepresentation
bin10011110011111…
…110110111100000
3212011110100210010
4103303332313200
51140043101302
652552204520
711144205402
oct2363766740
9764410703
10332393952
1116069a550
1293399740
1353b30617
1432206b72
151e2ac16c
hex13cfede0

332393952 has 96 divisors (see below), whose sum is σ = 969978240. Its totient is φ = 98808320.

The previous prime is 332393951. The next prime is 332393959. The reversal of 332393952 is 259393233.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×3323939522 = 220971478652356608, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 332393952.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332393951) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52999 + ... + 58937.

It is an arithmetic number, because the mean of its divisors is an integer number (10103940).

Almost surely, 2332393952 is an apocalyptic number.

332393952 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 332393952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484989120).

332393952 is an abundant number, since it is smaller than the sum of its proper divisors (637584288).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

332393952 is a wasteful number, since it uses less digits than its factorization.

332393952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6016 (or 6008 counting only the distinct ones).

The product of its digits is 131220, while the sum is 39.

The square root of 332393952 is about 18231.6744156975. The cubic root of 332393952 is about 692.7093309047.

The spelling of 332393952 in words is "three hundred thirty-two million, three hundred ninety-three thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 53 66 88 96 106 132 159 176 212 264 318 352 424 528 583 636 848 1056 1166 1272 1696 1749 2332 2544 3498 4664 5088 5939 6996 9328 11878 13992 17817 18656 23756 27984 35634 47512 55968 65329 71268 95024 130658 142536 190048 195987 261316 285072 314767 391974 522632 570144 629534 783948 944301 1045264 1259068 1567896 1888602 2090528 2518136 3135792 3462437 3777204 5036272 6271584 6924874 7554408 10072544 10387311 13849748 15108816 20774622 27699496 30217632 41549244 55398992 83098488 110797984 166196976 332393952